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Finding the Fourth Proportional to 127.18, 190.56 and 106.88

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Solution

The fourth proportional to 127.18, 190.56 and 106.88 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.18 : 190.56 = 106.88 : x
  2. Step 2: Convert to fraction form
    127.18/190.56 = 106.88/x
  3. Step 3: Cross multiply
    127.18x = 190.56 × 106.88
  4. Step 4: Simplify right side
    127.18x = 20,367.05
  5. Step 5: Solve for x
    x = 20,367.05/127.18
  6. Step 6: Final answer
    x = 160.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.